For Georgia’s president, it was a chance to show that his country, the former Soviet republic, is grand enough to attract the world’s best-known real estate developer. And for that developer, Donald J. Trump, it was yet another opportunity to demonstrate that he is world class.

In a ceremony with caviar and wine at Trump Tower in Manhattan on Thursday, Mr. Trump signed a deal to develop the two tallest towers in the republic of Georgia, the former Soviet state at the nexus of Eastern Europe and Western Asia.

Giving his blessing to the deal was Mikheil Saakashvili, the flamboyant, English-speaking president of Georgia. Mr. Saakashvili is eager to attract foreign investment as he tries to yank his impoverished country from the Russian orbit and align it more closely with the United States.